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Simplifying 5z + 80 + (-5) = 80 + 10z 5z + 80 + -5 = 80 + 10z Reorder the terms: 80 + -5 + 5z = 80 + 10z Combine like terms: 80 + -5 = 75 75 + 5z = 80 + 10z Solving 75 + 5z = 80 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 75 + 5z + -10z = 80 + 10z + -10z Combine like terms: 5z + -10z = -5z 75 + -5z = 80 + 10z + -10z Combine like terms: 10z + -10z = 0 75 + -5z = 80 + 0 75 + -5z = 80 Add '-75' to each side of the equation. 75 + -75 + -5z = 80 + -75 Combine like terms: 75 + -75 = 0 0 + -5z = 80 + -75 -5z = 80 + -75 Combine like terms: 80 + -75 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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